From the 1 of 6 linked papers with an AI index.
6 papers
Sharp Upper Bounds for Moments of Dedekind Zeta Functions
Benjamin Durkan, Nilmoni Karak, Kamalakshya Mahatab
Assuming the Generalised Riemann Hypothesis, the authors prove conjecturally sharp upper bounds for shifted moments of products of Dedekind zeta functions over arbitrary number fie…
Asymptotic Formula for Multipartitions
Jayanta Barman, Kamalakshya Mahatab
Let denote the number of -multipartitions of a positive integer . In this article, we obtain an asymptotic formula for , when , for any $ε…
Lower Bound for The Number of Zeros in The Character Table of The Symmetric Group
Jayanta Barman, Kamalakshya Mahatab
For any two partitions and of a positive integer , let be the value of the irreducible character of the symmetric group associated with , evalu…
Asymptotic Formula for -Regular Partitions
Jayanta Barman, Kamalakshya Mahatab
A partition is -regular if none of its parts is divisible by . Let be the number of -regular partitions of a positive integer . In 1971, Hagis proved an as…
Omega Results for The Divisor and Circle Problems Using The Resonance Method
Kamalakshya Mahatab
We apply the resonance method to obtain large values of general exponential sums with positive coefficients. As applications, we show improved -bounds for Dirichlet and Piltz d…
The Piltz divisor Problem in Number Fields Using The Resonance Method
Nilmoni Karak, Kamalakshya Mahatab
The Piltz divisor problem is a natural generalization of the classical Dirichlet divisor problem. In this paper, we study this problem over number fields and obtain improved b…